We consider stochastic p-Laplace evolution equations beyond the classical theory of monotone operators. The research project consists of three parts:- Stochastic p-Laplace equations with memory effects- Theoretical aspects of the stochastic p-Laplace equation with convection- Discretisation and approximations.The first two parts of the research project have a theoretical focus of the well-posedness of stochastic p-Laplace equations with convection and memory effects. In the third part, full discretisation schemes, semi-implicit with respect to the time variable and of finite-volume type with respect to the space variable, are proposed for stochastic p-Laplace evolution equations and the convergence of these schemes is investigated. The research project is implemented within the framework of a German-French cooperation of outstanding female mathematicians.
DFG Programme
Research Grants
International Connection
France
